An object with a mass of $4 kg$ is hanging from an axle with a radius of $14 cm$ . If the wheel attached to the axle has a radius of $27 cm$ , how much work would it take to turn the wheel $9 cm$ ?

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Answer 1 · 2017-06-09T05:38:10

The work is $=1.83J$

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The load L=(4g)N#

Radius of axle $r=0.14m$

Radius of wheel $R=0.27m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.27=4*g*0.14$

$F=(4*g*0.14)/0.27=20.3N$

The force is $=20.3N$

The distance is $d=0.09m$

The work is

$W=F*d=20.3*0.09=1.83J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 14 cm14 cm. If the wheel attached to the axle has a radius of 27 cm27 cm, how much work would it take to turn the wheel 9 cm9 cm?